http://acm.hdu.edu.cn/showproblem.php?pid=5676

这题的正解因该是dfs的,但是有18个位,然后我一算,全排列的话,有18!个啊,那不是很大?但是有很多是相同的,因为4477和第一个和第二个数字调转的结果是一样的。

先说说我模拟的方法。

真的很麻烦,不想看的,给几组数据就跑

7
0
8
4500
47
55
44447778
78
47777445

我是贪心模拟前n位,模拟的时候,如果这一位是3,如果我还有4,那么证明比后面的大了,然后后面的直接按4优先输出即可。

还有可能要加位的,就是78这样,要加位。

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
#define IOS ios::sync_with_stdio(false)
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL; #include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
const int maxn = 1e2 + ;
char str[maxn];
char ans[maxn];
int findnotseven(int begin, int end) {
for (int i = end; i >= begin; --i) {
if (ans[i] != '') return i;
}
return inf;
}
void work() {
for (int i = ; i <= ; ++i) str[i] = '';
scanf("%s", str + );
int lenstr = strlen(str + );
bool big = false;
int lenans = lenstr;
int four;
int seven;
if (lenstr & ) {
big = true;
four = lenstr / + ;
seven = lenstr / + ;
lenstr++;
} else {
four = lenstr / ;
seven = lenstr / ;
}
int tnow = ;
int add = ;
int pos = false;
char what;
for (int i = ; i <= lenstr; ++i) {
if (big) {
if (four) {
ans[++tnow] = '';
four--;
} else if (seven) {
ans[++tnow] = '';
seven--;
} else while();
} else {
if (str[i] > '') {
if (pos) {
ans[pos] = what;
four = ;
seven = ;
for (int k = ; k <= pos; ++k) {
four += ans[k] == '';
seven += ans[k] == '';
}
four = lenstr / - four;
seven = lenstr / - seven;
big = true;
i = pos;
tnow = pos;
} else {
add = ;
big = true;
four = (lenstr + ) / - ;
seven = (lenstr + ) / ;
i = ;
tnow = ;
}
} else {
if (str[i] >= '' && str[i] <= '') {
if (seven) {
ans[++tnow] = '';
seven--;
if (str[i] != '') {
big = true;
four = ;
seven = ;
for (int k = ; k <= i; ++k) {
four += ans[k] == '';
seven += ans[k] == '';
}
four = lenstr / - four;
seven = lenstr / - seven;
//************//
pos = i;
what = '';
}
} else { //也要改
if (pos) {
ans[pos] = what;
four = ;
seven = ;
for (int k = ; k <= pos; ++k) {
four += ans[k] == '';
seven += ans[k] == '';
}
four = lenstr / - four;
seven = lenstr / - seven;
big = true;
i = pos;
tnow = pos;
} else {
add = ;
big = true;
four = (lenstr + ) / - ;
seven = (lenstr + ) / ;
i = ;
tnow = ;
}
}
} else {
if (four) {
ans[++tnow] = '';
four--;
if (str[i] != '') {
big = true;
four = ;
seven = ;
for (int k = ; k <= i; ++k) {
four += ans[k] == '';
seven += ans[k] == '';
}
four = lenstr / - four;
seven = lenstr / - seven;
pos = i;
what = '';
} else {
if (seven) {
pos = i;
what = '';
}
}
} else if (seven) {
ans[++tnow] = '';
seven--;
big = true;
four = ;
seven = ;
for (int k = ; k <= i; ++k) {
four += ans[k] == '';
seven += ans[k] == '';
}
four = lenstr / - four;
seven = lenstr / - seven;
pos = i;
what = '';
pos = i;
what = '';
}
}
}
}
}
while (add--) {
printf("");
}
for (int i = ; i <= tnow; ++i) {
printf("%c", ans[i]);
}
printf("\n");
} int main() {
#ifdef local
freopen("data.txt","r",stdin);
#endif
int t;
scanf("%d", &t);
while (t--) work();
return ;
}

说一下按位DFS的做法

预处理出所有结果,首先要知道有多少种结果

当数字有18位的时候,9位4,9位7, 那么C(18, 9)的意思就是选9个位置来放四,其他的放7,那么结果就是C(18,9)

所以总答案数只有66196种。

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
#define IOS ios::sync_with_stdio(false)
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL; #include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
const int maxn = 1e6 + ;
LL ans[maxn];
int lenans;
void dfs(LL now, int num_four, int num_seven) {
if (num_four == && num_seven == ) {
ans[++lenans] = now;
return;
}
if (num_four == ) {
dfs(now * + , num_four, num_seven - );
} else if (num_seven == ) {
dfs(now * + , num_four - , num_seven);
} else {
dfs(now * + , num_four - , num_seven);
dfs(now * + , num_four, num_seven - );
}
}
void init() {
for (int i = ; i <= ; i += ) {
dfs(, i / , i / );
}
cout << lenans << endl;
}
void work() {
LL n;
scanf("%I64d", &n);
if (n > ans[lenans]) { //最大值777777777444444444。1e17内的最大值
printf("44444444447777777777\n");
} else {
// LL tans = lower_bound(ans + 1, ans + 1 + lenans);
// printf("%I64d\n", tans);
int begin = , end = lenans;
while (begin <= end) {
int mid = (begin + end) >> ;
if (ans[mid] >= n) {
end = mid - ;
} else begin = mid + ;
}
printf("%I64d\n", ans[begin]);
}
}
int main() {
#ifdef local
freopen("data.txt","r",stdin);
#endif
init();
int t;
scanf("%d", &t);
while (t--) work();
return ;
}

可以学习下DFS的做法

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